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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringclasses 1
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stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 27766b651a1f4d2aae49cf67f35c42d8 | 1 | short_answer | Work out~$\dfrac{3}{13}$ of $52$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | f4c9a4282e1345c9bbca6c475b472737 | 1 | short_answer | Zach is doing the following question: A snail has fallen into a well. In order to climb out of the well, it climbs upwards by $8$ $\text{m}$ during the day. However, at night, it will slide down by $3$ $\text{m}$ . If the snail manages to climb out of the well on the $9$\textsuperscript{th}~day, after climbing $8$ $\text{m}$, how deep is the well? His working is below: $8 - 3 = 5$ $5\times 9 = 45$ The well is $45$ $\text{m}$ deep. Is Zach correct? If not, show the correct working and answer. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 971a39bdec6540cb9d485a6ec1047a5a | 1 | short_answer | A book usually costs £$$18.60$$ but it is reduced by $$15 \%$$. How much does it cost now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | f44b5a2d15354af582ad35749d438ad3 | 1 | short_answer | $$20+519$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 3f9379f05667462b83ddc4ad0c015e2a | 1 | short_answer | If the quotient of a division is $$15$$, and the remainder is $$6$$, calculate the smallest possible dividend. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 75754b6444eb4ac999eea02d4c15c1ae | 1 | short_answer | Divide $$285 \div 3$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | cb198c5105554691b5c2769bc9702902 | 1 | short_answer | Among 100 foreign language teachers, 75 of them know French and 45 of them know Japanese. There must be some teachers who know both French and Japanese. How many teachers only know French? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 3299707a36e74108be6c90e585878b40 | 1 | short_answer | Rachel buys three identical bags of sweets and five cans of drink, the total cost of these items came to £4.90. Rosie buys just one bag of sweets and three cans of drink and pays £2.70. What is the cost of a bag of sweets? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Addition and Subtraction of Equations"
] |
2023-07-07T00:00:00 | 09e133cd62e94b3a83040c4a18ba31d0 | 1 | short_answer | Teddy and five of his friends are arranging themselves in a single line to take a picture together. If Teddy cannot be on the furthest left, how many different ways can the six of them line up? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | a408d24a473b41c1b69fdd5572d7b292 | 0 | short_answer | Work out $$16.4\div20$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 3121bf5cbc854fd786bb1b4d2885b8ee | 1 | short_answer | The first term of a sequence is $$50$$, the second is $$46$$, the third is $$42$$ and so on. How many terms are there before the first negative term? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 0b8f50cdd3c44951b15c9241a332716f | 1 | short_answer | David, Bentley and Triston have $$408$$ stamps altogether. Triston has $$5$$ times as many stamps as Bentley. David has $$2$$ times as many stamps as Bently. How many stamps does Triston have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 86c640d251b04743a791ed72e6ef1406 | 1 | short_answer | Find four ninths of $$963\text{p}$$ ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 12bb2874238a47da87ffaed7ea879f56 | 2 | short_answer | If you add up the digits of $$14$$ you get $$5$$, i.e.$$1+ 4=5$$. \textbf{How many} $$2$$-digit numbers are there altogether (including $$14$$) which add up to a multiple of $$7$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration"
] |
2023-07-07T00:00:00 | 0e485f9ad3f7447285e70845caf1d116 | 1 | short_answer | The sum of seven consecutive whole numbers is $280$. What is the largest of the seven numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 4ebd96f87e564c70a9f67b3e4a10d85d | 1 | short_answer | $${{1000}^{2}}-{{990}^{2}}+{{980}^{2}}-{{970}^{2}}+{{20}^{2}}-{{10}^{2}}=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | e288e678bbb249bcaab6d53963001d88 | 1 | short_answer | The sum of two numbers is $$49$$. The difference of the two numbers is $$9$$. Find the bigger number. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | d2cd4a56ec964afaadc7c52c40a6299e | 2 | short_answer | $$A$$ and $$B$$ are two distinct $$3-$$digit numbers which have two equal digits (not necessarily in the same number place). It is known that the highest common factor of $$A$$ and $$B$$ is $$75$$. Find the largest possible sum of $$A$$ and $$B$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | b654f11047ce401a8e2731b60cbe351b | 1 | short_answer | Calculate: $1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 =$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | ae782a917c0e49dd8aa4c9143b7f6498 | 1 | short_answer | $$20-18+16-14+$$$\cdots$$$8-6+4-2=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 48223bc38999457a8ca5cb8944280073 | 1 | short_answer | Calculate: $$8+32+72+128+200+288+392+512+648$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)"
] |
2023-07-07T00:00:00 | 5bad72a578f940cf8c6627f29fcbdfde | 1 | short_answer | Angel and Yiyang saved $$ $92.20$$ in total. Angel and Kayla saved $$ $28.20$$ in total. Yiyang saved $$5$$ times as much as Kayla. How much did Angel save? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 73662c89c90340368f0f31dbbb793bcb | 2 | short_answer | An book club has $5$ reading magazines and $5$ reading storybook. Tom is deciding the order of these kind of books. If he wants to read at least $1$ magazines between every $2$ storybooks, how many different ways are there for him to arrange these books? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | e7473cbabe36456fb728cd45b22d0cc7 | 1 | short_answer | A game is played on a board with spaces numbered $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$ $$\cdots \cdots $$ and so on. In the game players throw a dice numbered $$1$$ to $$6$$ and move forward the number of spaces indicated unless they throw a $$6$$. If they throw a $$6$$ they do not move but have to go back the number on the~\textbf{next}~throw. What space would you end up on after these $$8$$ throws: $$5$$, $$5$$, $$3$$, $$6$$, $$2$$, $$6$$, $$1$$, $$4$$? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Rolling Dice"
] |
2023-07-07T00:00:00 | dc0379c31de248fd8d41c231a4b7bbe8 | 1 | short_answer | Alex and Brayden had ＄$$756$$ altogether. After Alex gave ＄$$65$$ to Brayden, Alex had three times as much money as Brayden. How much money did Brayden have at first? | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Division of Whole Numbers->Dividing 3-digit Numbers by 1-digit Numbers->Written Calculation Involving Dividing 3-digit Numbers by 1-digit Numbers",
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 26fc18a2aa384355aa0db444268680d3 | 1 | short_answer | I bought a packet of fruit gums and ate $$2$$ of them, secretly, in my Music lesson. At break, I shared one third of the remaining fruit gums with my friends. I then finished the fruit gums, eating an equal amount in each of the next four lessons. What is the smallest number of fruit gums there could have been in the packet? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | e5cbd5d784b64b1e90f8c8affb745d94 | 1 | short_answer | Kate has $£13$. James has $£28$. James gives Kate some money so that they now have the same amount of money. How much does James give Kate? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving"
] |
2023-07-07T00:00:00 | d67cc9413a3540dda3185a84e88494ff | 1 | short_answer | Find one tenth of $$17.1$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 54a4368e09b64fa4ae17d9fafb1cc1f0 | 1 | short_answer | If a $6-$digit number $$\overline{42A28B}$$ is divisible by $$99$$, what is the value of the $2-$digit number $\overline{AB}$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | d2d70b19b95d4c2980b65eaa5b33a64f | 1 | short_answer | The average of ten numbers is $$10$$. If one of the ten numbers is removed, the average of the remaining numbers is $$9$$. What is the value of the number that is removed? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 0910afd7c9174c95a8df8508d6e7179e | 1 | short_answer | Lucy can walk at a constant speed of $3.6$ kilometers per hour. How many meters can she walk in $300$ seconds? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 7ed06d70e33c42a59176b296814f9641 | 1 | short_answer | Three brothers and a sister shared a sum of money equally among themselves. If the brothers alone had shared the money, then they would have increased the amount they each received by £20. What was the original sum of money? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | c4239409e9834407bcd7d853669b16fc | 1 | short_answer | $25\times4\times13=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | fd1df5442cc54af194c050069058433f | 2 | short_answer | Calculate: $$1^{3}+3^{3}+5^{3}+\cdots+21^{3}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | 63fc0ee320d54f81933be0988ed9fb3d | 2 | short_answer | Lauren had the same number of red, green and blue beads at first. After giving away $112$ blue beads and some red and green beads, Lauren had $$350$$ beads left. There were $$2$$ times as many red beads as green beads left. The number of blue beads left was $$50$$ fewer than the number of red beads left. How many blue beads did she have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple",
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 5fa816e5b446405587309db43ab19e8d | 2 | short_answer | There are $5$ different whole numbers. The average of some $4$ of these $5$ numbers is $36$, $38$, $39$, $45$ and $49$. What is the largest number among these $5$ numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | f396c06eee044d4c857925759f17b15d | 1 | short_answer | The Cupertino City Library has $360$ art books. If $\dfrac{1}{3}$~of the art books is equal to $\dfrac{4}{5}$~of the science books, how many science books does the library have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base",
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 41f505bb491242358551d509d2bc0f53 | 1 | short_answer | Katelyn and Jared shared some stickers in the ratio $$2:5$$. Jared has $$60$$ more stickers than Katelyn. How many stickers do the two children have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 7b33b3e40e114514bc857beeadd0ef2e | 1 | short_answer | $$32\times20\times300$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 8e13d12e420d4c5ebcc4af6c803994d9 | 2 | short_answer | You invest $10,000$ dollars in an investment that pays $5 \%$ interest compounded yearly for the first three years, and then $10 \%$ interest compounded yearly for the last two years. How much will you get after five years? ($1.05^{3} \approx 1.15763$ and $0.95^{3} \approx0.8574$, round the result to the nearest tenth) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 1aa1093f65fa4076aac242c4103891b2 | 1 | short_answer | Think Factory produced $$870$$, $$165$$, $$448$$, $$425$$ and $$3562$$ conponents in $$5$$ comsecutive days. Round each number to the nearest hundred to estimate the total number of components produced. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 0589562cb3d8409e9ec3a0bb065f706f | 2 | short_answer | What is the least number of cuts required to cut 16 identical sausages so that they can be shared equally among 24 people? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 7f47c8080f134d369478c048481bf15f | 1 | short_answer | There are $42$ volumes of Chinese textbooks, $63$ volumes of math textbooks and $28$ volumes of nature textbooks. All textbooks are going to be equally divided into some stacks. Each stack must contain only one type of textbooks. Find the greatest possible number of textbooks each stack contains. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | cf6a17fe82d4429d901a3cb109ff35af | 1 | short_answer | Qiqi walks from the library to school at a speed of $$60\textasciitilde m/min$$. $$2$$ minutes later, Weiling also leaves for school from the library at a speed of $$72\textasciitilde m/min$$. Weiling arrives at school $$4$$ minutes before Qiqi. What is the distance between the library and the school? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 68813ca3c24c42149ea862902169e0c3 | 1 | short_answer | Star and Nini are typing a document. If Star types $$5$$ hours and then Nini types $$20$$ hours, they will finish the job. If Star types $$20$$ hours and then Nini types $$8$$ hours, they can also finish the job. How long will it take Nini to finish the job by herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 3cb997a578814bb191020afbf8ceb5f8 | 2 | short_answer | If 4 construction companies can build a $$900\rm m$$ expressway in $$5$$ days, how many days will 1 construction company take to build a $$2700\rm m$$ expressway? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] |
2023-07-07T00:00:00 | d2ea6172a82640c28eb896db6bd6ed62 | 0 | short_answer | Richard\textquotesingle s mother Isobel flies out to see Richard. He meets the plane, which was on time, at $12$ noon, St Petersburg time. What time did the plane leave Manchester? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 81af17d8de7a46a788695ca8365b15ae | 1 | short_answer | $1 \text{kg}$~is approximately $2.2$ lbs (pounds). Roughly how many pounds is $5 \text{kg}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | b7ec49fc670841a1b3ed283d59481312 | 1 | short_answer | Jane is 45 cm taller than her brother Ben. Jane is 130 cm tall. How tall is Ben? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d252da6964f34cafb15841fcb98f9545 | 1 | short_answer | Students of Class A are standing in a queue. Counting from the front of the queue, Ben is $6$\textsuperscript{th}~in line. Counting from the back to the front, Frank is $9$\textsuperscript{th~}in line. Ben is in front of Frank, and there are $10$ people between Ben and Frank. After drawing a quick diagram, Ben concluded that there are $27$ people in the queue altogether. Is Ben's answer correct? If not, draw the correct diagram and find the correct answer. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing"
] |
2023-07-07T00:00:00 | 31bceb787e4e47be97073d7d8a8b3778 | 1 | short_answer | Mrs Tan mixed coffee and milk in the ratio $$3:8$$ to make a Latte. How many litres of Latte did she make if she used $$6$$ litres of coffee? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 486b088e81d74803b137ad63cc4007e3 | 1 | short_answer | A three-digit integer has remainder $2$ when it is divided by $8$ and remainder $2$ when divided by $11$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 6f0ec90fdeac4893aaf890122d46e374 | 1 | short_answer | $32-30+28-26+\cdots+8-6+4-2=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 717137e7208846a585af9fb90e9f65a3 | 0 | short_answer | Calculate the following $72 \%$ of $140$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 52ca3ae0b2e14097bf693e3c00c7fd95 | 1 | short_answer | There are marbles of three different colors in a jar, of which $\dfrac{2}{5}$~are red, $\dfrac{1}{3}$~are green and $96$ are yellow. How many marbles are in the jar? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | f4ac3e3adf8e48cd9836ded820e5f0cf | 1 | short_answer | You deposit some money into an account which earns $9 \%$ annual interest. If you can withdraw $870$ dollars from this account after 5 years, how much you need to deposit now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 16bb2f8b73aa4a2f87ca69fbf8cc577c | 1 | short_answer | Calculate: $$19+18+17+16+10=$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 456be3e7a4b1442f849f8976ad331a08 | 1 | short_answer | Find the remainder when dividing $${{42663}^{2}}$$ by $$9$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder "
] |
2023-07-07T00:00:00 | 9418da19a88b4ab6ad37f24482a17de8 | 1 | short_answer | What are the last $$4$$ digits of the following sum $$1+11+111+1111+\cdots +\underbrace{111\cdots 1}_{2015 ; 1s}?$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | 49451447b0b84c1aa576ca9cf57eb570 | 2 | short_answer | (2020 AMC upper Question\#28) How many even three-digit numbers are there where the digits add up to 8? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 9b2f93ae65ff4b8cb762302908c1e9e9 | 1 | short_answer | Express~$\dfrac{1}{20}$~as a decimal number. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | d605a3d05bcc43148562bbdb79db1c71 | 1 | short_answer | Find the unit digit of $$13^{242}+17^{379}\times4^{2012}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | 0b6fb29ca6e9447ca855d69db2282654 | 1 | short_answer | There are $$2$$ blue marbles and $$2$$ yellow marbles in a bag. Without looking into the bag, at least how many marbles must you take from the bag to be sure you get $$2$$ marbles of the same colour? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 23708dd0135542c9a0397bac3cf7df9e | 1 | short_answer | A number has a remainder of $2$ when it is divided by $4$. It also has a remainder of $3$ when it is divided by $5$. It has a remainder of $3$ when it is divided by $11$. Find the smallest possible value of this number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem"
] |
2023-07-07T00:00:00 | d378edcf9ef64254a7f97387b00ae18b | 1 | short_answer | John is one year older than his wife Mary. They have three children, whose ages are two years apart. The product of John and Mary\textquotesingle{} s ages is less than 2019. The product of the three children\textquotesingle{} s ages is also less than 2019. Next year both these products will be greater than 2020. This year, what is the sum of all five ages? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Finding the Unknowns by Number Theory Analysis",
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 2f5f5ef83c574d589866d40947993237 | 1 | short_answer | What is the $7$th term in this sequence: $11, 8, 5, 2, \ldots{} $? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 104db66ae297441bbca8c76f5ce475ec | 3 | short_answer | Mrs Chen spent $$$36$$ on a number of plates and~$\tfrac{3}{4}$~of the remaining money on a number of cups. If she had~$\tfrac{1}{6}$~of the original sum of money left, how much money did she have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | f1ec42c9727d45019312260e63e8481e | 2 | short_answer | A $$9$$-digit whole number $$\overline{abcdefghi}$$ is formed using digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, $$9$$ without repetition. If $$A= \overline{abc}+ \overline{bcd}+ \overline{cde}+ \overline{def}+ \overline{efg}+ \overline{fgh}+ \overline{ghi}$$, find the largest possible value of $$A$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 51b8bb60af70468585594276c4549d5f | 1 | short_answer | A bicyclist takes $$2$$ minutes, and $$30$$ seconds to travel a distance of $$1$$ mile. At this rate, how many miles will the bicyclist travel in $$1$$ hours? ($$1$$ mile is approximately $$1609.34$$ metres) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 5919c5ed904d4b1eb75ba4e56ab0daba | 1 | short_answer | If all the positive integers with leftmost digit $$8$$ are listed in ascending order: $$8$$,$$80$$,$$81$$,$$82$$,$$83$$,$$84$$,$$\cdots $$.What is the $$2012^{}\text {th}$$ integer in the list? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 14e76068ade649c18d46e10500185a77 | 1 | short_answer | The teacher divides some balls among $$5$$ students, and the number of balls owned by these students are five consecutive natural numbers. There are $$160$$ balls in total. How many balls does the student with the most balls have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | fb2929103b234c36a83b16152d639699 | 3 | short_answer | How many different ways can you place $15$ envelopes in the following 4 mailbox so that there is at least $2$ envelopes in box $A$, at least $4$ envelopes in box $B$, and at least $3$ envelopes in box $C$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 5112b404eb824dc0b71fd51b06757616 | 0 | short_answer | Calculate $25$\% of $80$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 5c608f9e5216463fa42df2bcdf873d46 | 1 | short_answer | Calculate: $${{2}^{2}}+{{4}^{2}}+{{6}^{2}}+\cdot \cdot \cdot +{{20}^{2}}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Finding the Patterns by Combining Numbers and Shapes"
] |
2023-07-07T00:00:00 | 2f102fdf5c8944f590e2fe08c5776b62 | 2 | short_answer | Two watermelons and three honeydews cost ＄$$48$$. Each honeydew costs twice as much as each watermelon. What is the cost of a honeydew? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 2def08a06682438abd603dfb441bdcac | 1 | short_answer | A certain country taxes the first $20000$ dollars of an individual's annual income at a rate of $15$\%, and all income over $20000$ dollars is taxed at $20$\%. If an individual is taxed $7000$ dollars, how much is her/his income? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | d304c371fad640039cf2aef0608bc6cf | 0 | short_answer | Find $x$: $$47-2(x+3)=1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 16719701a44b4e74b780b8ee086863a6 | 0 | short_answer | What is one tenth of $1.4$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 8b62ceaf1c8a475fb638fefb9ee9fe23 | 1 | short_answer | When $$\dfrac{1}{13}$$ is written in decimal form, what is the digit in the $2022^{\text{t}\text{h}}$~decimal place? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | d5d6a40303714f8a8ac28fac5100d265 | 2 | short_answer | Michael has three ropes with lengths of $28$ cm, $$14$$ cm, and $$56$$ cm, and he wants to cut them into pieces of equal length without leaving any surplus. What is the longest possible length of each piece? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | a0ed7f5e8007463db822ca4a6d5c38ad | 1 | short_answer | A total of $$40$$ chickens and rabbits are caged together. If there are $$100$$ legs in total, there should be~\uline{~~~~~~~~~~}~chickens. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | e6d3e99bc50e4197ba980e76f8a3861f | 1 | short_answer | Store $$A$$ and Store $$B$$ had an equal number of packs of potato chips at first. After Store $$A$$ sold $$290$$ packs of potato chips, Store $$B$$ had $$3$$ times as many packs of potato chips as Store $$A$$. How many packs of potato chips did both stores have altogether at first? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 469c613e4b42431083b62ce75d2ba64f | 2 | short_answer | A teacher asked $30$ students if they had a school lunch or a packed lunch or if they went home for lunch. $17$ of the students were boys. $4$ of the boys had a packed lunch. $7$ girls had a school lunch. $3$ of the $5$ students who went home were boys. Work out the number of students who had a packed lunch. | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "
] |
2023-07-07T00:00:00 | 21d247063caa480aa4fd164855aaf8d6 | 1 | short_answer | A sports store sells each dark chocolate for $6$ dollars, each milk chocolate for $5$ dollars, and each stawberry chocolate for $4$ dollars. In this year\textquotesingle s winter sale, the bar decides to make a blended these chocolates by mixing up $20$ dark chocolates, $20$ milk chocolates, and $20$ stawberry chocolates. How much will a blended chocolate cost on average? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | e88ad0d7f3f54f3cad6c71dd96553567 | 1 | short_answer | The clothing factory plans to make $$3600$$ sets of school uniforms. It made $$720$$ sets in the first $$5$$ days. If the factory makes uniforms at the same rate, how many days will it take to complete the order? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | a805e5e4aa104df697703c2b687e1b6d | 0 | short_answer | How many factors does the number $36$ have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 842182ab896748b7a10d330f85ae87d8 | 1 | short_answer | How many numbers less than 100 are divisible by 12? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 5dc3d08683054ae99151ce2641524c51 | 1 | short_answer | Find x. $$10(x+1)-5(x+1)-28=2$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 9781a5cc0b814b1bb88b4c3ef4a62e10 | 1 | short_answer | A train with a speed of $$53\text{m/s}$$ takes $$19$$ seconds to pass a tree on one side of the road. Find the length of this train. | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains"
] |
2023-07-07T00:00:00 | 2697c4034ea94601bb0fe5639660557d | 1 | short_answer | A man can finish drinking a barrel of orange juice in $$15$$ days on his own. If he shares the barrel of orange juice with his wife, they can finish it in $$12$$ days. How many days will his wife take to finish drinking the same barrel of orange juice on her own? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Sums"
] |
2023-07-07T00:00:00 | 8e3dbd5080e34453a64a1a23ca30111e | 1 | short_answer | Evaluate $$2017\times \left( 1-\frac{1}{2} \right)\times \left( 1-\frac{1}{3} \right)\times \left( 1-\frac{1}{4} \right)\times \cdots \times \left( 1-\frac{1}{2017} \right)$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 005fc5ec14e04dcba10b71edf3c8e322 | 1 | short_answer | CC prepares $18$ pears, $30$ strawberries, and $18$ boxes of chocolate for her friends. She divides all of them equally among her $6$ friends. How many fruits does each of her friends get? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | c15b927172434ffa9a24c1dbeb5e27c2 | 1 | short_answer | A tricycle has $$3$$ wheels. How many wheels do $$6$$ tricycles have? $$6$$ tricycles have~\uline{~~~~~~~~~~}~wheels. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | aa0bf7ef0d1143f9b795235a58ca1591 | 1 | short_answer | \textbf{\emph{SPECIAL OFFER ON MATHS BOOKS!}} \textbf{\emph{Fun Trigonometric Calculus For Pre-School, by lan Tregation Only £$$16$$ each.}} \textbf{\emph{Speical offer: Buy $$3$$ and get $$1$$ free!}} Subhan wants to get $$5$$ of these books. How much does he pay? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 3731755de37e48238b28194f092ad465 | 1 | short_answer | At an exhibition, $$\frac{2}{5}$$ of the people were women. There were thrice as many men as children. There were $$190$$ more women than children. Find the total number of people at the exhibition. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 6067f08c4e394300937f039a6579403e | 1 | short_answer | Sam thinks of a number. If you double the number and add $$6$$ you get the same answer as multiplying it by $$3$$ and subtracting $$3$$. Find the number that Sam was thinking of. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Number Machine"
] |
2023-07-07T00:00:00 | f2cae285f0b84b47ade17c9a18ab319b | 1 | short_answer | The average number of pencils owned by the boys and girls in a class is $$35$$. The average number of pencils owned by the boys is $$20$$ while the average number of pencils owned by the girls is $$60$$. If there are $$40$$ pupils in the class, how many boys are in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 3ba68d061ee44b82b9ca4db170f3bec5 | 1 | short_answer | The Turpan Depression is a fault trough and its base is located $154\textasciitilde m$ below sea level. Mount Fuji is a mountain and its tip is located $3776\textasciitilde m$ above sea level. Determine the distance between the base of Turpan Depression and the tip of Mount Fuji. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 9a74773c879b4522a6185e9816be51da | 1 | short_answer | What is the smallest number that must be added to $7059$ to make it divisible by $4$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 0f8960c766754ad7976ce474a09accd8 | 1 | short_answer | A book has $$200$$ pages, numbered from $1$ to $200$. How many times does the digit $1$ appear in numbering those pages? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
Subsets and Splits